Pith Number

pith:BUPRFNSX

pith:2014:BUPRFNSXWA7OBFPJU3AWQ2XEKN

not attested not anchored not stored refs pending

Virtual Poincar\'e polynomial of the space of stable pairs supported on quintic curves

Kiryong Chung

arxiv:1409.4848 v3 · 2014-09-17 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUPRFNSXWA7OBFPJU3AWQ2XEKN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:59:58.431002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d1f12b657b03ee095e9a6c1686ae453744e9e82c6428cbad598d2b1e96229b2

Aliases

arxiv: 1409.4848 · arxiv_version: 1409.4848v3 · doi: 10.48550/arxiv.1409.4848 · pith_short_12: BUPRFNSXWA7O · pith_short_16: BUPRFNSXWA7OBFPJ · pith_short_8: BUPRFNSX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BUPRFNSXWA7OBFPJU3AWQ2XEKN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0d1f12b657b03ee095e9a6c1686ae453744e9e82c6428cbad598d2b1e96229b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33ddf3c1a62989bd12ef7c5c74b71d6c83f77d174990087e036ad3a672673d76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-17T01:38:18Z",
    "title_canon_sha256": "cb8b1b137f1b084d8ccb1124bf49a74c777b1c1b58a6ada102658c5c0a7f6b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4848",
    "kind": "arxiv",
    "version": 3
  }
}